Gauge/gravity duality creates new links between quantum theory and gravity. It has led to new concepts in mathematics and physics, and provides new tools to solve problems in many areas of theoretical physics. This book is the first textbook on this important topic, enabling graduate students and researchers in string theory and particle, nuclear and condensed matter physics to get acquainted with the subject. Focusing on the fundamental aspects as well as on the applications, this textbook guides readers through a thorough explanation of the central concepts of gauge/gravity duality. For the AdS/CFT correspondence, it explains in detail how string theory provides the conjectured map. Generalisations to less symmetric cases of gauge/gravity duality and their applications are then presented, in particular to finite temperature and density, hydrodynamics, QCD-like theories, the quark-gluon plasma and condensed matter systems. The textbook features a large number of exercises, with solutions available online at www.cambridge.org/9781107010345.
Forgot to close this book last year (supposedly finished last year); this book did a good job trying to bring down a complicated subject matter to a good degree. However, the amount of typographical mistakes are bit too much for me to handle. I enjoyed reading it when I took a course on this subject, though we only needed the first six chapters.
The appendix on Lie super-algebra was also pretty good; you need to know a bit of basic Lie algebra first, but you probably cannot find any shorter crash course on Lie super-algebra elsewhere.